Question

Write the equations for combination of three resistors connected in parallel

Answer 1

Answer:

The diagram of three resistors connected in series combination is shown.

R1,R2 and R3 are the three resistors.

I = electric current flowing through the circuit

V = the potential difference supplied by the battery

Applying the Ohm’s law to the entire circuit, we have

V=IR

On applying Ohm’s law to the three resistors separately, we further have

V1=IR1

V2=IR2

and V3=IR3

The total potential difference across a combination of resistors in series is equal to the sum of potential difference across the individual resistors. That is,

V=V1+V2+V3

Therefore, IR=IR1+IR2+IR3

or

Equivalent resistance of the combination, R=R1+R2+R3

Answer 2

Write the equations for combination of three resistors connected in parallel.

three resistors connected in series combination is .

R1,R2 and R3 are the three resistors.

I = electric current flowing through the circuit

V = the potential difference supplied by the battery

Applying the Ohm’s law to the entire circuit, we have

V=IR

On applying Ohm’s law to the three resistors separately, we further have

V1=IR1

V2=IR2

and V3=IR3

The total potential difference across a combination of resistors in series is equal to the sum of potential difference across the individual resistors. That is,

V=V1+V2+V3

Therefore, IR=IR1+IR2+IR3

or

Equivalent resistance of the combination, R=R1+R2+R3